Abstract
This paper presents a general model to carry out a small signal stability analysis in electrical power systems (EPSs) that operate in unbalanced conditions. The classic traditional approach is based on a phase representation where it is supposed that the triphasic electric grid does not suffer any variations during its operation. With the presence of unbalances in transmission lines and loads, it is necessary to develop a general model that allows answering the needs and challenges with which modern electric systems must deal. The present work firstly intends to address the three-phase representation of an EPS, including the controllers. The proposed model is applied to a classical test system, a three machine-nine bus system, considering all the dynamic and algebraic variations associated with angular stability analysis. The proposed approach to small signal stability analysis shows results that differ from the classical analysis. The results are backed up with time domain simulations, and therefore, these results could be used in the calculation of the controllers that operate in unbalanced multimachine systems.
Highlights
The study of stability of electrical power systems (EPSs) is relevant for their operation and planning, as it thoroughly describes their behavior when facing events such as small and large perturbations [1]
We present a novel solution to the problem of small signal stability analysis for the multimachine systems under unbalanced conditions and compare it to the classical analysis in the search of a validation
From the proposal in [2], where the model was only applied to a one machine test case, the present work models multimachine EPS in unbalanced conditions, generalizes the small signal stability analysis, and compares the results obtained with a monophasic model used in the classical literature
Summary
The study of stability of electrical power systems (EPSs) is relevant for their operation and planning, as it thoroughly describes their behavior when facing events such as small and large perturbations [1]. Despite the favorable results presented, there is no work that compares the classic mathematical models with those proposed in previous reports under real modeling conditions This kind of study can verify the applicability of the models and can be possibly used to improve the studies of controllers applied to unbalanced system. We present a novel solution to the problem of small signal stability analysis for the multimachine systems under unbalanced conditions and compare it to the classical analysis in the search of a validation. From the proposal in [2], where the model was only applied to a one machine test case, the present work models multimachine EPS in unbalanced conditions, generalizes the small signal stability analysis, and compares the results obtained with a monophasic model used in the classical literature.
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